Answer
$$\frac{dp}{dt} = -1.3\frac{p}{V}\frac{dV}{dt}$$
Work Step by Step
Step-1: The following equation has been given to us,
$$pV^{1.3}=k$$, where $k$ is a constant. Differentiate the above equation with respect to $t$,
$$V^{1.3}\frac{dp}{dt}+ p(1.3V^{0.3})\frac{dV}{dt}=0$$
Step-2: Isolate $\frac{dp}{dt}$,
$$\frac{dp}{dt} = -1.3\frac{p}{V}\frac{dV}{dt}$$
